The stochastic finite-time stabilization problem is considered for a class of linear uncertain Markov jump systems that possess randomly jumping parameters. The transition of the jumping parameters is governed by a finite-state Markov process. By using the appropriate stochastic Lyapunov–Krasovskii functional approach, sufficient conditions are proposed for the design of stochastic finite-time stabilization controller. The stabilization criteria are formulated in the form of linear matrix inequalities and the designed finite-time stabilization controller is described as an optimization one. The designed finite-time stabilized controller makes the stochastic MJSs stochastic finite-time bounded and stochastic finite-time stabilizable for all admissible unknown external disturbances and uncertain parameters. Simulation results illustrate the effectiveness of the developed approaches.
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e-mail: fliu@jiangnan.edu.cn
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Stochastic Finite-Time Stabilization for Uncertain Jump Systems via State Feedback
Shuping He,
Shuping He
Institute of Automation,
e-mail: henyhappy@yahoo.com.cn
Jiangnan University
, Wuxi, Jiangsu 214122, P. R. China
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Fei Liu
Fei Liu
Institute of Automation,
e-mail: fliu@jiangnan.edu.cn
Jiangnan University
, Wuxi, Jiangsu 214122, P. R. China
Search for other works by this author on:
Shuping He
Institute of Automation,
Jiangnan University
, Wuxi, Jiangsu 214122, P. R. Chinae-mail: henyhappy@yahoo.com.cn
Fei Liu
Institute of Automation,
Jiangnan University
, Wuxi, Jiangsu 214122, P. R. Chinae-mail: fliu@jiangnan.edu.cn
J. Dyn. Sys., Meas., Control. May 2010, 132(3): 034504 (4 pages)
Published Online: April 28, 2010
Article history
Received:
May 22, 2008
Revised:
February 19, 2009
Online:
April 28, 2010
Published:
April 28, 2010
Citation
He, S., and Liu, F. (April 28, 2010). "Stochastic Finite-Time Stabilization for Uncertain Jump Systems via State Feedback." ASME. J. Dyn. Sys., Meas., Control. May 2010; 132(3): 034504. https://doi.org/10.1115/1.4001278
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